Chaos in discrete dynamical systems: a visual introduction in 2 dimensions
Chaos in discrete dynamical systems: a visual introduction in 2 dimensions
Synchronization, intermittency and critical curves in a duopoly game
Mathematics and Computers in Simulation
Multistability in a dynamic Cournot game with three oligopolists
Mathematics and Computers in Simulation
Stable cycles in a Cournot duopoly model of Kopel
Journal of Computational and Applied Mathematics
Chaos control on the repeated game model in electric power duopoly
International Journal of Computer Mathematics - Computer Mathematics in Dynamics and Control
Cournot games with linear regression expectations in oligopolistic markets
Mathematics and Computers in Simulation
Original article: Decision making in dynamic stochastic Cournot games
Mathematics and Computers in Simulation
Research on delayed complexity based on nonlinear price game of insurance market
WSEAS Transactions on Mathematics
Brief paper: On the stability of quadratic dynamics in discrete time n-player Cournot games
Automatica (Journal of IFAC)
Dynamics of a delayed duopoly game with bounded rationality
Mathematical and Computer Modelling: An International Journal
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A dynamic Cournot game characterized by players with bounded rationality is modeled by two non-linear difference equations. The stability of the equilibria of the discrete dynamical system is analyzed. As some parameters of the model are varied, the stability of Nash equilibrium is lost and the complex chaotic behavior occurs. Synchronization of two dynamic Cournot duopoly games are considered. In the case of identical players, such dynamical system becomes symmetric, and this implies that synchronized dynamics can be obtained by a simpler one-dimensional model whose dynamics summarizes the common behavior of the two identical players.